Answer:
The required equation is y = 3x + 17. Correct: B)
Explanation:
Equation of a line
A line can be represented by an equation of the form
y=mx+b
Where x is the independent variable, m is the slope of the line, m is the y-intercept and y is the dependent variable.
We are given the equation of a line as (corrected)
y=-1/3x+2
Note the slope of this line is m1=-1/3
We are asked to find the equation of another line that is perpendicular to the one above. Two lines are perpendicular if their slopes comply with the following condition:
[tex]m_1*m_2=-1[/tex]
Since we have m1, find m2:
[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]
[tex]\displaystyle m_2=-\frac{1}{-\frac{1}{3}}=3[/tex]
This means the slope of the required line is 3. We only have to test the options to find which one of us contains the point (-5,2):
A) The slope of this line is 3, so we test the point (-5,2)
2=3(-5)+13=-15+13=-2
Since 2 is different from -2, this option is not correct
B) The slope of this line is 3, so we test the point (-5,2)
2=3(-5)+17=-15+17=2
Since equality stands, this is the correct option
C) The slope of this line is -3, it cannot be the required line. This option is not correct
D) The slope of this line is -3, it cannot be the required line. This option is not correct
A map on a coordinate plane places two cities on coordinates. Upland is located at (25, 5) and Highland is located at (50, 10). If each unit on the map represents one mile, approximately how many miles apart are the two cities?
Answer:
Approximately 25.5 miles
Step-by-step explanation:
Location of both the cities are [tex] (25,\: 5)=(x_1, \:y_1) \:\&\: (50,\: 10)=(x_2 , \:y_2) [/tex]
The distance between two cities can be obtained by using distance formula:
Distance between two cities
[tex] = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2}} \\ \\ = \sqrt{ {(50 - 25)}^{2} + {(10 - 5)}^{2}} \\ \\ = \sqrt{ {(25)}^{2} + {(5)}^{2}} \\ \\ = \sqrt{ 625 + 25} \\ \\ = \sqrt{ 650} \\ \\ = 25.4950976 \\ \\ \approx25.5 \: miles[/tex]
What is the quotient?
3
4
Answer:
0.75
Step-by-step explanation:
it makes sense that 3 is the Dividend, 4 is the Divisor, and you want to know the Quotient. Thus, the answer is:
3 ÷ 4 = 0.75
if a car travels at a constant speed of 45km/hr how long will a journey of 270km take?
Answer:
I think the answer is "6" but I could be wrong.
Find the value of x.
Answer:
74 Degrees
Step-by-step explanation:
How i got it was we already know a triangle equal 180 degrees so you have to just add 69 degrees by 37 degrees and once you get the answer to the subtract it by 180 degrees and you get 74 degrees.
A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same route as the biker. At what speed does each of them travel if it takes them 2 hours, 2.5 hours, and 18.75 hours respectively to reach Wilmington? Do the speed and the time vary directly or inversely proportional when the same distance is traveled? Explain why.
Answer:
The speed is inversely proportional to the time when the same distance is traveled.
Step-by-step explanation:
Given that:
The distance traveled by the biker in 8 hours is 120 mi.
The speed of the biker=120/8=15 mi/hr.
[as speed=Distance travelled/Time taken]
As all take the same route, so the distance traveled by all is the same which is 120 mi
The time taken by the bus to cover this distance is 2 hours.
So, the speed of the bus = 120/2=60 mi/hr.
The time taken by the truck is 2.5 hours.
So, the speed of the truck = 120/2.5=48 mi/hr.
And the time taken by the rider is 18.75 hours.
So, the speed of the rider = 120/18.75=6.40 mi/hr.
Now, observe that to cover the same distance, the bus takes the least time, so, the bus is traveling at the fastest speed among all, while the rider has the slowest speed as the distance is the same for all. The truck and the biker have speed in between the speed of the bus and the rider.
It can be concluded that when the time of the journey for the same distance is less than speed is more.
So, the speed is inversely proportional to the time when the same distance is traveled.
Or, [tex]\text{Speed}\propto\frac{1}{Time}[/tex]
What is h(3) when h(x) = 3x^2-2x+13
Answer:
34
Step-by-step explanation:
you plug in the number 3 for the x variables and solve the equation.
Answer:
h(3) = 34
Step-by-step explanation:
h(3) means plug 3 into h(x) anywhere there is an x in the equation.
h(3) = 3(3)² - 2(3) + 13
h(3) = 27 - 6 + 13
h(3) = 34
Arrange the tiles on both boards to find the value of x.
Solve the equation 5x + (-2) = 6x + 4 using the algebra
tiles
What tiles need to be added to both sides to remove
the smaller x-coefficient?
5 negative x-tiles
+
+
What tiles need to be added to both sides to remove
the constant from the right side of the equation?
2 positive unit tiles
Board sum: 5x + (-2) = 6x + 4
What is the solution?
The tiles are ready for moving.
Reset
x = -6
x = -2
X = 1
X = 2
1) Intro
Done
Answer:
-1
Step-by-step explanation:
The quotient of 45 and r
Answer: 45r
Step-by-step explanation:
Choose all the factors of 5. (Check all that apply.)
4
1
3
2
5
Answer:
1,5
Step-by-step explanation:
Factors are numbers that you multiply together to a number the only 2 numbers that multiply to make 5 in the list are 1 and 5
A class of 24 students went on a picnic. They had a choice between having a turkey sandwich or a vegetarian sandwich. Eighteen students selected turkey, and the rest selected vegetarian. Write a ratio to compare the number of turkey sandwiches to the number of vegetarian sandwiches.
4 : 3
4 : 1
1 : 3
3 : 1
I believe it is the ratio 3 : 1.
18 students chose the turkey sandwich.
Since the class has a total of 24 students, we can deduce that 6 students chose the vegetarian sandwich.
This gives us a ratio of 18 : 6.
When simplified, we get a ratio of 3 : 1.
Which does NOT show a reasonable estimate for 673 × 18?
A. 14,000
B. 13,500
C. 13,000
D. 10,000
Answer:
A. 14,000
Step-by-step explanation:
because 673 rounded would equal 700
and 18 rounded would be 20
so 700x20 would be 14,000
hopefully you understand
and i hope you have a good day :)
14,000 will not be the reasonable estimate for 673 × 18. The correct option is A.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
The product of the numbers 673 and 18 will be:-
673 x 18 = 12114
673 rounded would equal 700 and 18 rounded would be 20 and the product of 700 and 20 will be:-
700x20 = 14,000
Therefore, 14,000 will not be the reasonable estimate for 673 × 18. The correct option is A.
To know more about multiplication follow
brainly.com/question/10873737
#SPJ2
Look at the images above. How are the fish food box and the shipping box similar? How are they different?
They are similar because of the color, and they are different because of the size and shape .
Answer:
The boxes are similar because they have similar dimensions and there both rectangular prisms. The boxes are different because one box is larger than the other box.
Step-by-step explanation:
Math help!!! Who know the answers???
Answer:
original: -5, 1
Final: 2, 1
What’s is the circumference of a circle of 12mm
Answer:
r ≈ 1.91mm
Step-by-step explanation:
What is the value of k in the product of powers below?
10-3.10.10% = 10-3
1
103
O-3
-1
оо
1
Answer:
-1
Step-by-step explanation:
$&#&#&&#$&&$&&$$&$
All of the following represent the same expression except _____. 19 subtracted from 25 25 less than 19 25 minus 19 19 less than 25
Which of the following is not true about reflections
Answer:
what are the options like A B C or D
Marley paints the bird houses that she sells at craft fairs. She can paint 12 bird houses in 4 hours. At this rate, how many bird houses can she paint in 2 hours? also 10 hours?
!WARNING! (*SOLVE WITH CLAIM, EVIDENCE, AND REASONING*)
!WARNING! IF YOU DO NOT DO THAT YOUR ANSWER WILL BE DELETED IN 24*
IF YOU CANT ANSWER THEN COMMENT ON SOMEONE ELSE COMMENT OR ASK QUESTIONS ABOUT THE QUESTION
Answer:
6 bird houses in 2 hours30 bird houses in 10 hoursStep-by-step explanation:
Marley can paint 12 bird houses in 4 hours
The rate of painting of bird houses is
12/4 = 3 bird houses per hourWith the same rate in 2 hours she can paint:
3*2 = 6 bird housesIn 10 hours she can paint:
3*10 = 30 bird housesAnswer:
6 bird houses in 2 hours30 bird hours in 10 hoursStep-by-step explanation:
12 / 4 = 3 bird houses per hour
3 * 2 = 6
3 * 10 = 30
Best of Luck!
please help with both of them
What is the value of y?
Square root of 34 x square root of y = 34
An elevator went up 15 floors, down 9 floors, up 11 floors, and down 5 floors. Find the
net change. Right now the elevator is at th floor.
Answer:
From the info i have +15, -9. +11, -5 its 3
Step-by-step explanation:
A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.29 lb, the mean of all of the weights is x=1.995 lb, and the standard deviation of the weights is s=1.305 lb. a. What is the difference between the weight of 5.29 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.29 lb to a z score. d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.29 lb significant?
Answer:
Follows are the solution to this question:
Step-by-step explanation:
In point a:
The weight difference between 5.29 lb and the weighted mean:
[tex]=5.29-1.995 \\\\=3.295[/tex]
In point b:
The number of standard deviation:
[tex]=\frac{3.295}{1.305} \\\\ =2.52[/tex]
In point c:
[tex]z score= \frac{x- \mu}{\sigma}\\\\[/tex]
[tex]=\frac{ 1.995- 5.29}{1.305}\\\\=\frac{-3.295}{1.305}\\\\= - 2.52[/tex]
In point d:
No, since (-2, 2) included with the Zero is the z score and for weight is 5.29.
What is the constant of expression 8x-4 ?
Answer:
8, bye!
Step-by-step explanation:
Gabriela makes a profit of $0.80 for every cup of coffee that she sells at her coffee shop. She wanted to make a profit of at least $75 today on coffee. If she sold 90 cups today, which statement is correct? *
She met her goal, because she made less than $75 on coffee today.
She met her goal, because she made more than $75 on coffee today.
She missed her goal, because she made less than $75 on coffee today.
She missed her goal, because she made more than $75 on coffee today.
Answer:
She missed her goal, because she made less than $75 on coffee today.
Step-by-step explanation:
Gabriela, did not meet her goal because she only mad 72$ today
if you do
80 cents times 90 cups you only get 72$
meaning that she was 3$ short from meeting her goal.
.80 * 90
Answer: She missed her goal because she made less than $75 on coffee today.
how is a donkey living
Answer:
Donkeys are very social and usually live in a group called a herd. The herd is usually lead by one jack and consists of several jennies in the wild.
Step-by-step explanation:
If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio of apples to all fruit?
Answer:1:6 is the answer. there are 4 bananas and 24 pieces of fruit total so it would be 4:24 until you simplify it to 1:6
Step-by-step explanation:
Answer:
1:6
Step-by-step explanation:
broski
Kaitlin reads 49 chapters of a book in 7 hours. What is her rate in chapters per hour?
Answer:
7
Step-by-step explanation:
7 hours = 49 chapters
1 hours = x
x = (49×1)/7
x=7
Answer:
7 chapters per hour
Step-by-step explanation:
49 :7 =7 chapters per hour
Two angles are supplementary. The measure of the smaller angle is four more than one third the measure of the larger angle. The measure of the larger angle is
Answer:
132
Step-by-step explanation:
2 Angles are supplementary:
x + y = 180
The smaller angle is four more than one third of other:
y = 1/3x + 4
Plug in y into the original equation:
x + 1/3x + 4 = 180
Solve the equation:
4/3x = 176
x = 176 * 3/4
x = 132
y = 48
x is the larger angle so 132 is the answer
The measure of smaller and larger angles will be 48 degrees and 132 degrees, respectively.
Given information:
The two angles are supplementary. Let them be x (larger) and y (smaller).
The measure of the smaller angle is four more than one-third the measure of the larger angle.
The above condition can be written as,
[tex]y=4+\dfrac{ x}{3}[/tex]
Supplementary angles are the angles whose sum of measure is equal to 180 degrees.
So, [tex]x+y=180[/tex]
Solve the above two equations as,
[tex]x+y=180\\x+(4+\dfrac{ x}{3})=180\\\dfrac{4x}{3}=176\\x=176\times \dfrac{3}{4}\\x=132\\y=48[/tex]
Therefore, the measure of smaller and larger angles will be 48 degrees and 132 degrees, respectively.
For more details, refer to the link:
https://brainly.com/question/19281924
X+y when x =11 and y= 6.4
Answer:
(x=11) + (y=6.4)
=11+ 6.4
=17.4
PLEASE HELPPPP!! WILL GIVE BRAINLIEST + 25 POINTS
What is the value of g?
−5+7g=3g+9
g=−1
g = 1
g=125
g=312
Answer:
D
Step-by-step explanation:
We have the equation:
[tex]-5+7g=3g+9[/tex]
Add 5 to both sides:
[tex]7g=3g+14[/tex]
Subtract 3g from both sides:
[tex]4g=14[/tex]
Divide both sides by 4:
[tex]g=14/4[/tex]
We can spilt this into:
[tex]g=12/4+2/4[/tex]
Simplify:
[tex]g=3\frac{1}{2}[/tex]
So, our answer is D.
And we're done!
Answer:
g = 3 1/2
Step-by-step explanation:
−5 + 7g = 3g + 9
Subtract 3g from both sides.
−5 + 4g = 9
Add 5 to both sides.
4g = 14
Divide both sides by 4.
g = 14/4
Reduce the fraction.
g = 7/2
Change the fraction into a mixed numeral.
g = 3 1/2
